中国物理B ›› 2007, Vol. 16 ›› Issue (10): 2903-2907.doi: 10.1088/1009-1963/16/10/013

• GENERAL • 上一篇    下一篇

Realization of generalized synchronization between different chaotic systems via scalar controller

周 平1, 曹玉霞2   

  1. (1)Institute for Nonlinear Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; (2)Library of Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • 收稿日期:2007-02-24 修回日期:2007-03-14 出版日期:2007-10-08 发布日期:2007-10-08

Realization of generalized synchronization between different chaotic systems via scalar controller

Zhou Ping(周平)a) and Cao Yu-Xia(曹玉霞)b)   

  1. a Institute for Nonlinear Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; b Library of Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • Received:2007-02-24 Revised:2007-03-14 Online:2007-10-08 Published:2007-10-08

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摘要： In this paper, a very simple generalized synchronization method between different chaotic systems is presented. Only a scalar controller is used in this method. The method of obtaining the scalar controller from chaotic systems is established. The sufficient and necessary condition of generalized synchronization is obtained from a rigorous theory, and the sufficient and necessary condition of generalized synchronization is irrelative to chaotic system itself. Theoretical analyses and simulation results show that the method established in this paper is effective.

Abstract: In this paper, a very simple generalized synchronization method between different chaotic systems is presented. Only a scalar controller is used in this method. The method of obtaining the scalar controller from chaotic systems is established. The sufficient and necessary condition of generalized synchronization is obtained from a rigorous theory, and the sufficient and necessary condition of generalized synchronization is irrelative to chaotic system itself. Theoretical analyses and simulation results show that the method established in this paper is effective.

Key words: generalized synchronization, different chaotic systems, scalar controller

中图分类号:  (Synchronization; coupled oscillators)

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